Planned (Budget Gaming) Build

PCPartPicker part list / Price breakdown by merchant

Type Item Price
CPU Intel Core i3-7100 3.9GHz Dual-Core Processor £109.99 @ Aria PC
Motherboard Asus H110M-A/M.2 Micro ATX LGA1151 Motherboard £58.47 @ Scan.co.uk
Memory Corsair Vengeance LPX 8GB (1 x 8GB) DDR4-2400 Memory £57.99 @ Ebuyer
Storage PNY CS1311 120GB 2.5" Solid State Drive £39.47 @ Amazon UK
Storage Toshiba 3TB 3.5" 7200RPM Internal Hard Drive £75.97 @ CCL Computers
Video Card Gigabyte Radeon RX 480 4GB G1 Gaming Video Card £161.94 @ Aria PC
Case Cooler Master N300 ATX Mid Tower Case £40.40 @ Alza
Power Supply Corsair CXM 450W 80+ Bronze Certified Semi-Modular ATX Power Supply £49.98 @ Ebuyer
Prices include shipping, taxes, rebates, and discounts
Total £594.21
Generated by PCPartPicker 2017-03-11 14:06 GMT+0000

Your build looks pretty good for the most part, I just made a couple of tweaks:
- swapped motherboard and memory to support DDR4, this makes your build more future proof as you will be able to use the same memory if you upgrade again a few years from now - took out the fans and put in an SSD. For a fairly efficient system like this, you won't need many fans, and certainly not nearly £50 worth. Put in a 120GB SSD to install your OS on.

/r/buildapc Thread